Quantum Criticality in the 2D Quasiperiodic Potts Model

TY - JOUR

T1 - Quantum Criticality in the 2D Quasiperiodic Potts Model

AU - Agrawal, Utkarsh

AU - Gopalakrishnan, Sarang

AU - Vasseur, Romain

N1 - Publisher Copyright: © 2020 American Physical Society.

PY - 2020/12/23

Y1 - 2020/12/23

N2 - Quantum critical points in quasiperiodic magnets can realize new universality classes, with critical properties distinct from those of clean or disordered systems. Here, we study quantum phase transitions separating ferromagnetic and paramagnetic phases in the quasiperiodic q-state Potts model in 2+1D. Using a controlled real-space renormalization group approach, we find that the critical behavior is largely independent of q, and is controlled by an infinite-quasiperiodicity fixed point. The correlation length exponent is found to be ν=1, saturating a modified version of the Harris-Luck criterion.

AB - Quantum critical points in quasiperiodic magnets can realize new universality classes, with critical properties distinct from those of clean or disordered systems. Here, we study quantum phase transitions separating ferromagnetic and paramagnetic phases in the quasiperiodic q-state Potts model in 2+1D. Using a controlled real-space renormalization group approach, we find that the critical behavior is largely independent of q, and is controlled by an infinite-quasiperiodicity fixed point. The correlation length exponent is found to be ν=1, saturating a modified version of the Harris-Luck criterion.

UR - http://www.scopus.com/inward/record.url?scp=85099133741&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85099133741&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.125.265702

DO - 10.1103/PhysRevLett.125.265702

M3 - Article

C2 - 33449710

SN - 0031-9007

VL - 125

JO - Physical review letters

JF - Physical review letters

IS - 26

M1 - 265702

ER -